973003249 has 3 divisors (see below), whose sum is σ = 973034443. Its totient is φ = 972972056.

The previous prime is 973003223. The next prime is 973003277. The reversal of 973003249 is 942300379.

The square root of 973003249 is 31193.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 942300379 = 173 ⋅5446823.

It can be written as a sum of positive squares in only one way, i.e., 481583025 + 491420224 = 21945^2 + 22168^2 .

It is not a de Polignac number, because 973003249 - 2¹⁷ = 972872177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (973043249) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15597 + ... + 46789.

Almost surely, 2^973003249 is an apocalyptic number.

973003249 is the 31193-rd square number.

973003249 is the 15597-th centered octagonal number.

It is an amenable number.

973003249 is a deficient number, since it is larger than the sum of its proper divisors (31194).

973003249 is an frugal number, since it uses more digits than its factorization.

973003249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62386 (or 31193 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The cubic root of 973003249 is about 990.9188656299.

The spelling of 973003249 in words is "nine hundred seventy-three million, three thousand, two hundred forty-nine".